(Solved): Section 1: Scope degrees, truth tables, and logical properties. 1. Construct truth tables for the f ...

Section 1: Scope degrees, truth tables, and logical properties. 1. Construct truth tables for the following sentences. Be sure to include scope degrees. Then use those tables to answer the questions that follow. [8pts each] a. ((p (qp))/(q&p)) b. ((q (q?p))???(pq)) c. (p ?((q&-p)? (q?p))) d. (q&((pvq) ??(p&q))) 2. Which sentences, if any, are logically true? Logically false? Write "none" if none of the sentences have the property. 2pts each 3. When an answer below is yes, specify a row that proves the consistency of the set. 3pts each Is the set (a,b,c,d) consistent? Is the set {a,b,c) consistent? Is the set {b.d) consistent? 4. Circle the claims of logical consequence that are true and cross out and specify a countermodel for the claims that are false. 4pts each {a,c} = d ?Fa {b,c}=a d=a